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Current meta-learning approaches focus on learning functional representations of relationships between variables, i.e. on estimating conditional expectations in regression. In many applications, however, we are faced with conditional…

Machine Learning · Statistics 2021-02-25 Jean-Francois Ton , Lucian Chan , Yee Whye Teh , Dino Sejdinovic

Although the standard formulations of prediction problems involve fully-observed and noiseless data drawn in an i.i.d. manner, many applications involve noisy and/or missing data, possibly involving dependence, as well. We study these…

Statistics Theory · Mathematics 2015-03-19 Po-Ling Loh , Martin J. Wainwright

The kernel two-sample test based on the maximum mean discrepancy (MMD) is one of the most popular methods for detecting differences between two distributions over general metric spaces. In this paper we propose a method to boost the power…

Methodology · Statistics 2024-09-06 Anirban Chatterjee , Bhaswar B. Bhattacharya

Qualitative models provide crucial instruments for modelling complex biological systems. While advances in automated reasoning and symbolic encodings have enabled rigorous inference of these models from data, the process remains highly…

Molecular Networks · Quantitative Biology 2026-05-14 Ondřej Huvar , Nikola Beneš , Martin Jonáš , David Šafránek , Samuel Pastva

In semiconductor manufacturing, wafer defect maps (WDMs) play a crucial role in diagnosing issues and enhancing process yields by revealing critical defect patterns. However, accurately categorizing WDM defects presents significant…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Yin-Yin Bao , Er-Chao Li , Hong-Qiang Yang , Bin-Bin Jia

Patient scans from MRI often suffer from noise, which hampers the diagnostic capability of such images. As a method to mitigate such artifact, denoising is largely studied both within the medical imaging community and beyond the community…

Image and Video Processing · Electrical Eng. & Systems 2022-03-25 Hyungjin Chung , Eun Sun Lee , Jong Chul Ye

The density estimation is one of the core problems in statistics. Despite this, existing techniques like maximum likelihood estimation are computationally inefficient due to the intractability of the normalizing constant. For this reason an…

Machine Learning · Computer Science 2021-01-14 Tsimboy Olga , Yermek Kapushev , Evgeny Burnaev , Ivan Oseledets

An important line of research in the field of explainability is to extract a small subset of crucial rationales from the full input. The most widely used criterion for rationale extraction is the maximum mutual information (MMI) criterion.…

Machine Learning · Computer Science 2024-10-23 Wei Liu , Zhiying Deng , Zhongyu Niu , Jun Wang , Haozhao Wang , YuanKai Zhang , Ruixuan Li

Measurement error occurs when a covariate influencing a response variable is corrupted by noise. This can lead to misleading inference outcomes, particularly in problems where accurately estimating the relationship between covariates and…

Methodology · Statistics 2026-01-16 Charita Dellaporta , Theodoros Damoulas

Fault diagnosis plays an essential role in reducing the maintenance costs of rotating machinery manufacturing systems. In many real applications of fault detection and diagnosis, data tend to be imbalanced, meaning that the number of…

Machine Learning · Computer Science 2022-03-30 Masoud Jalayer , Amin Kaboli , Carlotta Orsenigo , Carlo Vercellis

We introduce a kernel-based two-sample test for comparing probability distributions up to group actions. Our construction yields invariant kernels for locally compact $\sigma$-compact groups and extends classical Haar-based approaches…

Statistics Theory · Mathematics 2026-03-18 Madison Giacofci , Anouar Meynaoui , Alex Podgorny

Density estimation is a fundamental problem that arises in many areas of astronomy, with applications ranging from selecting quasars using color distributions to characterizing stellar abundances. Astronomical observations are inevitably…

Instrumentation and Methods for Astrophysics · Physics 2024-12-05 Yi Kang , Joseph F. Hennawi , Jan-Torge Schindler , John Tamanas , Riccardo Nanni

Nonsense-mediated mRNA decay (NMD) is a critical post-transcriptional surveillance mechanism that degrades transcripts with premature termination codons, safeguarding transcriptome integrity and shaping disease phenotypes. However,…

Genomics · Quantitative Biology 2025-02-21 Ali Saadat , Jacques Fellay

The denoising process of diffusion models can be interpreted as an approximate projection of noisy samples onto the data manifold. Moreover, the noise level in these samples approximates their distance to the underlying manifold. Building…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Abulikemu Abuduweili , Chenyang Yuan , Changliu Liu , Frank Permenter

We investigate the performance of distributed least-mean square (LMS) algorithms for parameter estimation over sensor networks where the regression data of each node are corrupted by white measurement noise. Under this condition, we show…

Systems and Control · Computer Science 2016-11-18 Reza Abdolee , Benoit Champagne

A popular approach for estimating an unknown signal from noisy, linear measurements is via solving a so called \emph{regularized M-estimator}, which minimizes a weighted combination of a convex loss function and of a convex (typically,…

Information Theory · Computer Science 2016-01-26 Christos Thrampoulidis , Ehsan Abbasi , Babak Hassibi

Reducing the radiation dose in computed tomography (CT) is important to mitigate radiation-induced risks. One option is to employ a well-trained model to compensate for incomplete information and map sparse-view measurements to the CT…

Image and Video Processing · Electrical Eng. & Systems 2023-03-29 Xiaoyue Li , Kai Shang , Gaoang Wang , Mark D. Butala

We study the algorithmic problem of robust mean estimation of an identity covariance Gaussian in the presence of mean-shift contamination. In this contamination model, we are given a set of points in $\mathbb{R}^d$ generated i.i.d. via the…

Data Structures and Algorithms · Computer Science 2025-02-21 Ilias Diakonikolas , Giannis Iakovidis , Daniel M. Kane , Thanasis Pittas

Recommender systems often grapple with noisy implicit feedback. Most studies alleviate the noise issues from data cleaning perspective such as data resampling and reweighting, but they are constrained by heuristic assumptions. Another…

Information Retrieval · Computer Science 2024-06-18 Jujia Zhao , Wenjie Wang , Yiyan Xu , Teng Sun , Fuli Feng , Tat-Seng Chua

Ambient diffusion is a recently proposed framework for training diffusion models using corrupted data. Both Ambient Diffusion and alternative SURE-based approaches for learning diffusion models from corrupted data resort to approximations…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Giannis Daras , Alexandros G. Dimakis , Constantinos Daskalakis
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